Publications (38)
A Modified Multifractal Formalism for a Class of Self-Similar Measures
Pablo Shmerkin
Absolute continuity of complex Bernoulli convolutions
Pablo Shmerkin, Boris Solomyak
Local entropy averages and projections of fractal measures
Michael Hochman, Pablo Shmerkin
Improved bounds for the dimensions of planar distance sets
Pablo Shmerkin
Salem sets with no arithmetic progressions
Pablo Shmerkin
On the dimension of iterated sumsets
Jörg Schmeling, Pablo Shmerkin
On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems
Ian D. Morris, Pablo Shmerkin
Spatially independent martingales, intersections, and applications
Pablo Shmerkin, Ville Suomala
Equidistribution from Fractals
Michael Hochman, Pablo Shmerkin
Porosity, dimension, and local entropies: a survey
Pablo Shmerkin
$L^q$ dimensions of self-similar measures, and applications: a survey
Pablo Shmerkin
Structure of distributions generated by the scenery flow
Antti Käenmäki, Tuomas Sahlsten, Pablo Shmerkin
On the exceptional set for absolute continuity of Bernoulli convolutions
Pablo Shmerkin
Maximal Operators for cube skeletons
Andrea Olivo, Pablo Shmerkin
Sets which are not tube null and intersection properties of random measures
Pablo Shmerkin, Ville Suomala
$L^q$ dimensions and projections of random measures
Daniel Galicer, Santiago Saglietti, Pablo Shmerkin +1
Overlapping self-affine sets of Kakeya type
Antti Kaenmaki, Pablo Shmerkin
Non-conformal repellers and the continuity of pressure for matrix cocycles
De-Jun Feng, Pablo Shmerkin
On packing measures and a theorem of Besicovitch
Ignacio GarcÃa, Pablo Shmerkin
On the dimensions of a family of overlapping self-affine carpets
Jonathan Fraser, Pablo Shmerkin
Squares and their centers
Tamás Keleti, Dániel T. Nagy, Pablo Shmerkin
Moreira's Theorem on the arithmetic sum of dynamically defined Cantor sets
Pablo Shmerkin
Resonance between Cantor sets
Yuval Peres, Pablo Shmerkin
On distance sets, box-counting and Ahlfors-regular sets
Pablo Shmerkin
On measures that improve $L^q$ dimension under convolution
Eino Rossi, Pablo Shmerkin
Absolute continuity of self-similar measures, their projections and convolutions
Pablo Shmerkin, Boris Solomyak
A class of random Cantor measures, with applications
Pablo Shmerkin, Ville Suomala
Convolutions of Cantor measures without resonance
Fedor Nazarov, Yuval Peres, Pablo Shmerkin
Overlapping self-affine sets
Pablo Shmerkin
On Furstenberg's intersection conjecture, self-similar measures, and the $L^q$ norms of convolutions
Pablo Shmerkin
Dynamics of the scenery flow and geometry of measures
Antti Käenmäki, Tuomas Sahlsten, Pablo Shmerkin
Patterns in Random Fractals
Pablo Shmerkin, Ville Suomala
Multifractal structure of Bernoulli convolutions
Thomas Jordan, Pablo Shmerkin, Boris Solomyak
Projections of self-similar and related fractals: a survey of recent developments
Pablo Shmerkin
The dimension of weakly mean porous measures: a probabilistic approach
Pablo Shmerkin
The Hausdorff dimension of the projections of self-affine carpets
Andrew Ferguson, Thomas Jordan, Pablo Shmerkin
Dimension, entropy, and the local distribution of measures
Tuomas Sahlsten, Pablo Shmerkin, Ville Suomala
Self-affine sets and the continuity of subadditive pressure
Pablo Shmerkin